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Finding the Third Proportional to 39,621 and 54,328.50

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Solution

The third proportional to 39,621 and 54,328.50 is: 74,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,621 : 54,328.50 = 54,328.50 : x
  2. Step 2: Convert to fraction form
    39,621/54,328.50 = 54,328.50/x
  3. Step 3: Cross multiply
    39,621x = 54,328.50 × 54,328.50
  4. Step 4: Simplify right side
    39,621x = 2,951,585,912.25
  5. Step 5: Solve for x
    x = 2,951,585,912.25/39,621
  6. Step 6: Final answer
    x = 74,495.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.